Least Common Multiple of 1232 and 1234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1232 and 1234 the smallest integer that is 760144 that is divisible by both numbers.

Least Common Multiple (LCM) of 1232 and 1234 is 760144.

LCM(1232,1234) = 760144

LCM of 1232 and 1234

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1232 and 1234

LCM of 1232 and 1234 is 760144

Least common multiple can be found by multiplying the highest exponent prime factors of 1232 and 1234. First we will calculate the prime factors of 1232 and 1234.

Prime Factorization of 1232


2 1232
2 616
2 308
2 154
7 77
11 11
1

Prime factors of 1232 are 2, 7,11. Prime factorization of 1232 in exponential form is:

1232 = 24×71×111

Prime Factorization of 1234


2 1234
617 617
1

Prime factors of 1234 are 2,617. Prime factorization of 1234 in exponential form is:

1234 = 21×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 1232 and 1234.

LCM(1232,1234) = 24×71×111×6171
LCM(1232,1234) = 760144

Factors of 1232

List of positive integer factors of 1232 that divides 1232 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232

Factors of 1234

List of positive integer factors of 1234 that divides 1234 without a remainder.

1, 2, 617, 1234

Least Common Multiple of 1232 and 1234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1232 and 1234, than apply into the LCM equation.

GCF(1232,1234) = 2
LCM(1232,1234) = ( 1232 × 1234) / 2
LCM(1232,1234) = 1520288 / 2
LCM(1232,1234) = 760144

Properties of LCM 1232 and 1234

(i) The LCM of 1234 and 1232 is associative

LCM of 1232 and 1234 = LCM of 1234 and 1232

Related Least Common Multiples of 1232

Related Least Common Multiples of 1234

Frequently Asked Questions on LCM of 1232 and 1234

1. What is the LCM of 1232 and 1234?

Answer: LCM of 1232 and 1234 is 760144.

2. What are the Factors of 1232?

Answer: Factors of 1232 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232. There are 20 integers that are factors of 1232. The greatest factor of 1232 is 1232.

3. What are the Factors of 1234?

Answer: Factors of 1234 are 1, 2, 617, 1234. There are 4 integers that are factors of 1234. The greatest factor of 1234 is 1234.

4. How to Find the LCM of 1232 and 1234?

Answer:

Least Common Multiple of 1232 and 1234 = 760144

Step 1: Find the prime factorization of 1232

1232 = 2 x 2 x 2 x 2 x 7 x 11

Step 2: Find the prime factorization of 1234

1234 = 2 x 617

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 760144 = 2 x 2 x 2 x 2 x 7 x 11 x 617

Step 4: Therefore, the least common multiple of 1232 and 1234 is 760144.